Artículo
On the minimal positive standardizer of a parabolic subgroup of an Artin–Tits group
Autor/es | Cumplido Cabello, María |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2018-09-22 |
Fecha de depósito | 2022-11-08 |
Publicado en |
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Resumen | The minimal standardizer of a curve system on a punctured disk is the minimal positive braid that transforms it into a system formed only by round curves. We give an algorithm to compute it in a geometrical way. Then, we ... The minimal standardizer of a curve system on a punctured disk is the minimal positive braid that transforms it into a system formed only by round curves. We give an algorithm to compute it in a geometrical way. Then, we generalize this problem algebraically to parabolic subgroups of Artin–Tits groups of spherical type and we show that, to compute the minimal standardizer of a parabolic subgroup, it suffices to compute the pn-normal form of a particular central element. |
Cita | Cumplido Cabello, M. (2018). On the minimal positive standardizer of a parabolic subgroup of an Artin–Tits group. Journal of algebraic combinatorics, 49 (3), 337-359. https://doi.org/10.1007/s10801-018-0837-z. |
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